3146893286400 has 1320 divisors, whose sum is σ = 12344858784720. Its totient is φ = 790741647360.

The previous prime is 3146893286399. The next prime is 3146893286419. The reversal of 3146893286400 is 46823986413.

3146893286400 is a `hidden beast` number, since 3 + 14 + 68 + 93 + 2 + 86 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2585778592 + ... + 2585779808.

It is an arithmetic number, because the mean of its divisors is an integer number (9352165746).

Almost surely, 2^{3146893286400} is an apocalyptic number.

3146893286400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3146893286400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6172429392360).

3146893286400 is an abundant number, since it is smaller than the sum of its proper divisors (9197965498320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3146893286400 is a wasteful number, since it uses less digits than its factorization.

3146893286400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1331 (or 1299 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 3146893286400 in words is "three trillion, one hundred forty-six billion, eight hundred ninety-three million, two hundred eighty-six thousand, four hundred".